What is the solution for csc(y)dx+sec(x)dy=0 ?

The solution for csc(y)dx+sec(x)dy=0 is y=arccos(sin(x)-c_{1})+2pin,y=-arccos(sin(x)-c_{1})+2pin

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csc(y)dx+sec(x)dy=0

csc (y) d x + sec (x) d y = 0

y = arccos (sin (x) - c_{1}) + 2 πn, y = - arccos (sin (x) - c_{1}) + 2 πn

Solution steps

csc (y) d x + sec (x) d y = 0

Solve separable ODE:

y = arccos (sin (x) - c_{1}) + 2 πn, y = - arccos (sin (x) - c_{1}) + 2 πn

y = arccos (sin (x) - c_{1}) + 2 πn, y = - arccos (sin (x) - c_{1}) + 2 πn

What is the solution for csc(y)dx+sec(x)dy=0 ?
The solution for csc(y)dx+sec(x)dy=0 is y=arccos(sin(x)-c_{1})+2pin,y=-arccos(sin(x)-c_{1})+2pin